This equation in 2 variables doesn't have a "solution." Rather, you can solve it for either x or y, but that's not a "solution" in the usual sense.
Example: 8x-5y=-25, when solved for x, becomes first 8x = 5y-25 and then
5(y-5)
x = -----------
8
You could solve 8x-5y=-25 for y in a similar fashion.
